m² = 4+5m formula method
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A .1
Given, m
2 =4+5m⇒m
2 −5m−4=0
Compare the given equation with ax 2 +bx+c=0
Since, x= 2a −b+ b 2−4ac
and x= 2a −b− b 2−4ac
In given quadratic equation a=1,b=−5,c=−4
∴m= 2a −(−5)+ (−5) 2 −4×1×(−4) and
m= 2a −(−5)− (−5) 2 −4×1×(−4)
∴m= 2 5+ 41 and m= 2 5− 41
∴m= 2 5± 41
Thus given statement is true
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